Solving Circular Motion: Find Time & Position of Breaking String

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SUMMARY

The discussion focuses on solving a physics problem involving circular motion, specifically determining the time and position at which a string breaks under tension. The scenario involves a 5kg mass spun vertically on a 1.3-meter string with an initial linear velocity of 4m/s and a constant angular acceleration of 0.8 rad/s². The maximum tension the string can withstand is 230N. Key equations include the relationship between linear velocity and angular velocity (w = v/r) and the radial acceleration formula (a = w²r).

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with kinematic equations in curvilinear coordinates
  • Knowledge of angular velocity and acceleration concepts
  • Basic grasp of tension forces in physics
NEXT STEPS
  • Study the derivation of kinematic equations for circular motion
  • Learn how to calculate angular velocity and acceleration in practical scenarios
  • Explore the effects of tension in strings during circular motion
  • Investigate vertical circular motion dynamics and its implications
USEFUL FOR

Students preparing for physics exams, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to tension and angular dynamics.

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All right i have a big test on monday in physics and the only thing my proffesor gave to me to study was this and i really don't know where to begin

A boy spins a 5kg mass on a string of length 1.3 meters. He initially spins it with a constant linear velocity of 4m/s. At time=0 , it is at 3pi/4 radians, and he begins to give it a constant angular acceleration of a = .8rad/s/s. The maximum tension the string can withstand without breaking is 230N.

At what time will the string break? at what position will the mass be when this happens?

He does give a hint which to my closed mind does not help (w=v/r , a=w^2(r)

Ohh i think he said that is was spining vertically not horizontally
Thanks for you time
 
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Start by writing down the data, and the kinematic equations (radial acceleration) for circular motion in curvilinear coordinates. Now start by analyzing the case when t=0.
 

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